Research Article

A Direct Eigenanalysis of Multibody System in Equilibrium

Table 5

Eigenvalues with or without scaling.

Frequency orderABAQUSUnscaled modelScaled model
value errorvalue error

1st0.0805i 1 . 0 9 + 0 . 0 2 i0.0808i 0 . 3 7 %
2nd0.4215i 1 . 0 6 + 0 . 3 4 i0.4236i 0 . 5 0 %
3rd1.1922i 1 . 2 0 + 0 . 3 5 i1.2134i 1 . 7 8 %
4th1.6457i 1 . 3 0 + 0 . 0 8 i1.6520i 0 . 3 8 %
5th2.2631i 1 . 3 0 + 0 . 0 3 i2.2633i 0 . 0 1 %
6th2.6006i 1 . 3 4 + 0 . 2 3 i2.5967i 0 . 1 5 %
Condition number 3 . 3 4 1 6 𝑒 + 1 9 1 . 1 5 6 0 𝑒 + 1 0

Note: error = (Algorithm−ABAQUS)/ABAQUS.